Two Springs Of Equal Lengths And Equal Cross-sectional Areas Are Made Of Materials Whose Young’s Modulii Are In The Ratio Of 3:2. They Suspended And Loaded With The Same Mass. When Stretched And Released, They Will Oscillate With Time Periods In The Ratio Of

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Question

Two springs of equal lengths and equal cross-sectional areas are made of materials whose Young’s modulii are in the ratio of 3:2. They suspended and loaded with the same mass. When stretched and released, they will oscillate with time periods in the ratio of

Solution

Correct option is

 

  

Where l is the extension in the spring of original length L and cross-sectional area A when a force F = Mg is applied. Now, the time period of vertical oscillations is given by

                                   

  

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